Geometrical Spinoptics and the Optical Hall Effect
arXiv:math-ph/0509031 · doi:10.1016/j.geomphys.2006.07.003
Abstract
Geometrical optics is extended so as to provide a model for spinning light rays via the coadjoint orbits of the Euclidean group characterized by color and spin. This leads to a theory of ``geometrical spinoptics'' in refractive media. Symplectic scattering yields generalized Snell-Descartes laws that include the recently discovered optical Hall effect.
33 pages. Two subsections and new references added. To appear in the Journal of Geometry and Physics
References in corpus (11)
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- Topological spin transport of photons: the optical Magnus Effect and Berry Phase
- Spin Hall effect and Berry phase of spinning particles
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- Spin Hall effect of Photons in a Static Gravitational Field
- Fermat Principle for spinning light
- What are the left-handed media and what is interesting about them?
- Topological spin transport of photons: "magnetic monopole" gauge field in Maxwell equations and polarization splitting of rays in periodically inhomogeneous media
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Cited by in corpus (42)
- Geometrodynamics of polarized light: Berry phase and spin Hall effect in a gradient-index medium
- Non-relativistic conformal symmetries and Newton-Cartan structures
- Conformal Carroll groups
- Spin Hall effect of Photons in a Static Gravitational Field
- Transverse spin dynamics of light: the generalized spin-momentum locking for structured guided modes
- Gravitational spin Hall effect of light
- Non-Abelian evolution of electromagnetic waves in a weakly anisotropic inhomogeneous medium
- Chiral fermions as classical massless spinning particles
- Polarization Transport of Transverse Acoustic Waves: Berry Phase and Spin Hall Effect of Phonons
- Spinoptics in a stationary spacetime
- Spin and orbital Hall effects for diffracting optical beams in gradient-index media
- Wigner translations and the observer-dependence of the position of masslesss spinning particles
- Wigner-Souriau translations and Lorentz symmetry of chiral fermions
- Exotic galilean symmetry and non-commutative mechanics
- Memory Effect for Impulsive Gravitational Waves
- Tachyons in the Galilean limit
- Semiclassical analysis of Dirac fields on curved spacetime
- Gravitational birefringence of light in Robertson-Walker cosmologies
- Worldsheet Formalism for Decoupling Limits in String Theory
- Gravitational birefringence of light in Schwarzschild spacetime
- Gravitational Faraday and Spin-Hall Effects of Light
- Recursive Diagonalization of Quantum Hamiltonians to all order in
- Finsler Spinoptics
- Joint effect of polarization and the propagation path of a light beam on its intrinsic structure
- Lorentz transformations, sideways shift and massless spinning particles
- Weyl geometric effects on the propagation of light in gravitational fields
- Group theoretical construction of planar Noncommutative Phase Spaces
- Photons as quasi-charged particles
- Chiral magnetic effect of light
- Nonlinear quantum optics for spinor slow light
- How does the photon's spin affect Gravitational Wave measurements?
- Polarized Spinoptics and Symplectic Physics
- Transverse Shifts in Paraxial Spinoptics
- The E(2) Particle
- Noncommutative Phase Spaces on Aristotle group
- The covariance of chiral fermions theory
- Planons and their Carroll-Galilei symmetries
- Galilei particles revisited
- Classical and quantum particles from nongeneric conformal orbits
- Geometric studies of the interplay between spin and gravity
- Spin Hall effects and the localization of massless spinning particles
- Spin Hall effect of light in inhomogeneous axion field